Scala analysis: xen18-erlich-magic-02
1L 1s MOS for Magic, L=820.48, s=380.80
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 820.480 cents 820.480000 2: 1201.280 cents 1201.280000
SHOW/INTERVAL
0: 380.8000 cents 380.8000 1: 820.4800 cents 820.4800 2: 380.8000 cents 380.8000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 380.80000 cents 1: 1 820.48000 cents Highest number of different intervals for one interval class: 2 Average number of different intervals per interval class: 2.00000 = 2
SHOW/LINE/CENTS INTERVALS
1 2 0.0 : 820.5 1201.3 820.5 : 380.8 1201.3 1201.3
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 380.8000 .. 820.4800 cents 439.68000 cents 380.80000 cents
SHOW DATA
Number of notes : 2 -- Interval properties -- Smallest interval : 380.80000 cents, class 1 Average step (divided formal octave): 600.6400 cents Largest one step interval : 820.48000 cents Average / Smallest step : 1.577311 Largest / Average step : 1.366010 Largest / Smallest step : 2.154622 Median interval of one step : 600.64000 cents, amount: 0 Least squares average step : 644.60800 cents, oct.: 1289.21600 cents Scale is strictly proper Scale has Myhill's property chromas: 439.68000 cents and 58.88000 cents, ratio: 7.467391 generator: 380.80000 cents ET pair of linear temperament : 19&41 Scale is distributional even Scale is a mode of a 306-tone equal temperament with octave 1201.280 cents degrees: 209 306 generator: 97 Number of contiguous 1-step segments: 0 Step pattern alph. order: AB Step pattern size order : LS Scale is a Constant Structure, by a margin of 380.80000 cents Scale diversity : 1.575132 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.633990 Rothenberg efficiency : 1.000000 redundancy: 0.000000 Efficiency x scale size : 2.000000 Number of different interval sizes : 2 = 2.00000 / class Number of one step interval sizes : 2 Highest interval variety : 2 Mean interval variety : 2.00000 = 2 Median interval variety : 2 Lowest interval variety : 2 Smallest interval difference : 439.68000 cents Most common intervals : 380.80000 cents & inv., amount: 1 Number of recognisable fifths : 0 Number of recognisable fourths : 0 Best fifths form a closed circle Steps are strictly decreasing Formal octave complements present : 1 = 50.0000% 2/1 octave complements present : 0 = 0.0000% Limited inverse transpositions : 1 Inversional symmetry on intervals : 0-1 1-2 -- Rational properties --
FIT/MODE
2: 1 1 SP B ME I SD: 155.4504 c. M: 219.8400 c. 3: 2 1 SP M ME SD: 13.8781 c. M: 19.6267 c. 13: 9 4 SP M DE SD: 7.9022 c. M:-11.1754 c. 16: 11 5 SP M DE SD: 3.8184 c. M:-5.4000 c. 19: 13 6 SP M DE SD: 1.0242 c. M:-1.4484 c. 22: 15 7 SP M DE SD: 1.0079 c. M: 1.4255 c. 41: 28 13 SP M DE SD: 0.0662 c. M: 0.0937 c. 183: 125 58 SP M DE SD: 0.0470 c. M:-0.0664 c. 224: 153 71 SP M DE SD: 0.0263 c. M:-0.0371 c. 265: 181 84 SP M DE SD: 0.0120 c. M:-0.0169 c. 306: 209 97 SP M DE SD: 0.0015 c. M:-0.0021 c. 959: 655 304 SP M DE SD: 0.0014 c. M: 0.0020 c. 1265: 864 401 SP M DE SD: 0.0007 c. M: 0.0010 c. 1571: 1073 498 SP M DE SD: 0.0003 c. M: 0.0004 c. 1877: 1282 595 SP M DE SD: 0.0000 c. M: 0.0000 c.
FIT/HARMONIC
1 x 2 S SD: 1.2800 cents 28:45:56 SD: 0.7875 cents 33:53:66 SD: 0.6519 cents 94:151:188 SD: 0.6419 cents 127:204:254 SD: 0.6400 cents 343:551:687 SD: 0.6244 cents 348:559:697 SD: 0.6030 cents 353:567:707 SD: 0.5861 cents 358:575:717 SD: 0.5735 cents 363:583:727 SD: 0.5653 cents 366:588:733 SD: 0.5604 cents 371:596:743 SD: 0.5345 cents 376:604:753 SD: 0.5127 cents 381:612:763 SD: 0.4953 cents 386:620:773 SD: 0.4822 cents 391:628:783 SD: 0.4735 cents 396:636:793 SD: 0.4690 cents 399:641:799 SD: 0.4603 cents 404:649:809 SD: 0.4376 cents 409:657:819 SD: 0.4191 cents 414:665:829 SD: 0.4048 cents 419:673:839 SD: 0.3951 cents 424:681:849 SD: 0.3897 cents 429:689:859 SD: 0.3887 cents 432:694:865 SD: 0.3756 cents 437:702:875 SD: 0.3554 cents 442:710:885 SD: 0.3395 cents 447:718:895 SD: 0.3280 cents 452:726:905 SD: 0.3212 cents 457:734:915 SD: 0.3191 cents 465:747:931 SD: 0.3029 cents 470:755:941 SD: 0.2847 cents 475:763:951 SD: 0.2710 cents 480:771:961 SD: 0.2622 cents 485:779:971 SD: 0.2583 cents 498:800:997 SD: 0.2399 cents 503:808:1007 SD: 0.2233 cents 508:816:1017 SD: 0.2116 cents 513:824:1027 SD: 0.2053 cents 518:832:1037 SD: 0.2045 cents 531:853:1063 SD: 0.1848 cents 536:861:1073 SD: 0.1695 cents 541:869:1083 SD: 0.1597 cents 546:877:1093 SD: 0.1562 cents 559:898:1119 SD: 0.1561 cents 564:906:1129 SD: 0.1364 cents 569:914:1139 SD: 0.1219 cents 574:922:1149 SD: 0.1142 cents 592:951:1185 SD: 0.1140 cents 597:959:1195 SD: 0.0936 cents